Remarks on strongly Wright-convex functions

• Autorzy: Nelson Merentes , Kazimierz Nikodem , Sergio Rivas
• Języki publikacji: EN

Abstrakty

EN

Some properties of strongly Wright-convex functions are presented. In particular it is shown that a function f:D → ℝ, where D is an open convex subset of an inner product space X, is strongly Wright-convex with modulus c if and only if it can be represented in the form f(x) = g(x)+a(x)+c||x||², x ∈ D, where g:D → ℝ is a convex function and a:X → ℝ is an additive function. A characterization of inner product spaces by strongly Wright-convex functions is also given.

Kategorie tematyczne

• 26A51: Convexity, generalizations
• 39B62: Functional inequalities, including subadditivity, convexity, etc.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2011
• Tom: 102
• Numer: 3
• Strony: 271-278

Daty

wydano

2011

Twórcy

autor

Nelson Merentes

• Escuela de Matemáticas, Universidad Central de Venezuela, Caracas, Venezuela

autor

Kazimierz Nikodem

• Department of Mathematics and Computer Science, University of Bielsko-Biała, 43-309 Bielsko-Biała, Poland

autor

Sergio Rivas

• Open National University, Caracas, Venezuela

Identyfikatory

DOI

10.4064/ap102-3-6